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» A note on circuit lower bounds from derandomization
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STOC
2004
ACM
157views Algorithms» more  STOC 2004»
15 years 9 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson
FOCS
2008
IEEE
15 years 4 months ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow
COCO
1999
Springer
101views Algorithms» more  COCO 1999»
15 years 1 months ago
A Lower Bound for Primality
Recent work by Bernasconi, Damm and Shparlinski showed that the set of square-free numbers is not in AC0 , and raised as an open question whether similar (or stronger) lower bound...
Eric Allender, Michael E. Saks, Igor Shparlinski
FOCS
1994
IEEE
15 years 1 months ago
A Spectral Approach to Lower Bounds
We establish a nonlinear lower bound for halfplane range searching over a group. Specifically, we show that summing up the weights of n (weighted) points within n halfplanes requir...
Bernard Chazelle
COMBINATORICS
2007
55views more  COMBINATORICS 2007»
14 years 9 months ago
A Note on a Problem of Hilliker and Straus
For a prime p and a vector ¯α = (α1, . . . , αk) ∈ Zk p let f (¯α, p) be the largest n such that in each set A ⊆ Zp of n elements one can find x which has a unique repr...
Miroslawa Janczak